As far as the posters and signs are concerned, there are three possibilities:

They can reinforce the convictions of those who agree with them.

They can inspire those that don’t to anger. But the best way to express that anger is to vote for others who are just as angry.

They can be ignored. Rest assured that even many who come to Mass ignore them. Polls show that the convictions of Roman Catholics don’t vary that much from the general population, in spite of the exhortations of their church.

Back in the Soviet Union, there were propaganda posters everywhere. Even in the dry cleaning establishments. ("Better dry cleaning through Communism?") But the posters didn’t prevent the collapse of the country.

The endless barrage of litigation such as this is a sign of the insecurity of the plaintiffs (and their supporters.) The biggest surprise is that, in a stronghold of "God-hating liberalism" like South Florida, one judge actually dismissed this kind of litigation.